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CBSE Class 9 Answered

Find value of a in 2x3+ax2-8x+a,when it is given that it is completely divisible by x-3 and hence factorise the polynomial 
Asked by nisha_vini29 | 25 Feb, 2019, 03:17: PM
answered-by-expert Expert Answer
straight f left parenthesis straight x right parenthesis equals 2 straight x cubed plus ax squared minus 8 straight x plus straight a
straight f left parenthesis 3 right parenthesis equals 2 open parentheses 3 cubed close parentheses plus straight a open parentheses 3 squared close parentheses minus 8 open parentheses 3 close parentheses plus straight a equals 0...... remainder space theorem
straight a equals negative 3
2 straight x cubed minus 3 straight x squared minus 8 straight x minus 3 space divided by open parentheses straight x minus 3 close parentheses
by space long space division
2 straight x cubed minus 3 straight x squared minus 8 straight x minus 3 equals open parentheses straight x minus 3 close parentheses open parentheses 2 straight x squared plus 3 straight x plus 1 close parentheses equals open parentheses straight x minus 3 close parentheses open parentheses 2 straight x plus 1 close parentheses open parentheses straight x plus 1 close parentheses
Answered by Arun | 25 Feb, 2019, 04:17: PM
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